Could you give the context? I'm asking because for me the above meaning (I would like to know) is unnatural and because it might have meant something completely different depending on the sentence. I'd always interpret it as I would if I knew (i.e. Ja bih da znam kako -> I would if I knew how).

I was the one who introduced 'I feel like' into perspective. However, it was a broad statement and should be put in context: I feel like knowing is not really a meaningful statement in any language, is it? Thus, the only sensible reading of Ja bih da znam is 'I'd like to know'.